Question
A factory purchases bolts in lots of 800. Acceptance is decided using a single-sampling plan with sample size n = 20 and acceptance number c = 3. Assume that 2% defective items are considered acceptable quality and 7% defective items are considered unacceptable quality.
Find:
(i) The probability of accepting a lot when the incoming quality level is 5% defective.
(ii) The Average Outgoing Quality (AOQ), assuming rejected lots are completely screened and defectives are replaced.
(iii) The Average Total Inspection (ATI).
Answer :
Word Count : 474
We are given: * Lot size ( N = 800 ) * Sample size ( n = 20 ) * Acceptance number ( c = 3 ) * Acceptable quality ( p_a = 2% = 0.02 ) * Unacceptable quality ( p_u = 7% = 0.07 ) * Question asks for calculations at ( p = 5% = 0.05 ) We solve step by step manually. --- (i) Probability of accepting a lot when defective fraction is 5% The probability of accepting a lot in a single-sampling plan is given by the cumulative probability of observing at most ( c ) defectives in the sample: [ P_a = \sum_{x=0}^{c} \binom{n}{x} p^x (1-p)^{n-x} ] Here, ( n = 20, _______ _____ _______ __________ ________ ________ _______ ____ __________ _______ _________.
_____ ____ _______ ______ _______ __________ ______ ____ ________ _________ ___ ____.
_________ ____ ________ ___ ___ ____ _______ _____ _________ ________ ____.
__________ ________ _______ ____ _______ _____ ________ ________ _____ ___.
_____ _____ ____ _____ _______ ___.
______ _________ _______ ______ _________ _____.
__________ _________ __________ ____ _________ ______ ____.
_______ __________ ______ __________ ____ ________.
_____ __________ _________ ___ ____ ____ _____ _______ ___ _________.
___ ___ ____ __________ ______ _______.
________ _________ _______ __________ ________ __________ ____ ____ ___.
_________ ________ __________ ___ ___ __________ ___ ____ _____ ___ _________.
________ _______ _____ _______ ________ ___ ______.
_________ _________ _______ ____ ________ ________ _________ ____ _______.
___ _______ ____ ___ ___ _____ __________.
_______ ________ _________ ___ ______ _______ ____ ______ __________.
_________ ____ ___ __________ _____ ______ __________ ______.
____ ____ ___ ____ __________.
_________ ____ ________ __________ ___.
________ ______ ______ __________ _______ _________ _________ ________ _____ ___.
_____ ____ __________ ________ _______ ___ ____ ___ _________ _______.
______ ______ ______ ___ ______ _______ __________ ____.
_________ __________ _______ _____ _________ _______ _____ _________.
_____ _______ _____ ____ ________ _________ __________ _______ __________.
__________ ________ _____ _____ __________ _____ ________ _________ ____ _______ __________ ____.
___ __________ ___ _________ _______ ______.
_____ ______ ______ _____ ____.
________ _______ ______ ___ ____ ____ ____ _________.
_______ _____ _____ _______ ______ _____ _____ ____ ________ __________ ____ ___.
_________ ___ ______ _________ __________ ____ ______ ____ ___ ____ ____.
__________ ____ __________ ___ __________ ________ ________ _________ _________ _____.
________ ___ _________ ________ ______ ______ ________ _______ _____ ________ _____.
________ ______ ____ ___ ________.
______ ______ _______ __________ _________.
________ ___ __________ ______ ____.
________ _____ ____ ______ ____ _______ _____ _____.
_______ _________ __________ ______ _____ ________ _______ ______ ________ ____.
________ _________ __________ ________ ______ _________.
_____ _______ _____ _____ ____ _______ ______ _____ ________ _____.
_________ __________ _______ ________ __________ _____ _______ _______ __________ _____ _____ __________.
____ _______ __________ _________ ________ ________ _____ __________ ____.
___ _______ ____ ______ ______.
____ ________ ___ _______ _______ ______.
Get Full Answer on WhatsApp
We are given: * Lot size ( N = 800 ) * Sample size ( n = 20 ) * Acceptance number ( c = 3 ) * Acceptable quality ( p_a = 2% = 0.02 ) * Unacceptable quality ( p_u = 7% = 0.07 ) * Question asks for calculations at ( p = 5% = 0.05 ) We solve step by step manually. --- (i) Probability of accepting a lot when defective fraction is 5% The probability of accepting a lot in a single-sampling plan is given by the cumulative probability of observing at most ( c ) defectives in the sample: [ P_a = \sum_{x=0}^{c} \binom{n}{x} p^x (1-p)^{n-x} ] Here, ( n = 20, _______ _____ _______ __________ ________ ________ _______ ____ __________ _______ _________.
_____ ____ _______ ______ _______ __________ ______ ____ ________ _________ ___ ____.
_________ ____ ________ ___ ___ ____ _______ _____ _________ ________ ____.
__________ ________ _______ ____ _______ _____ ________ ________ _____ ___.
_____ _____ ____ _____ _______ ___.
______ _________ _______ ______ _________ _____.
__________ _________ __________ ____ _________ ______ ____.
_______ __________ ______ __________ ____ ________.
_____ __________ _________ ___ ____ ____ _____ _______ ___ _________.
___ ___ ____ __________ ______ _______.
________ _________ _______ __________ ________ __________ ____ ____ ___.
_________ ________ __________ ___ ___ __________ ___ ____ _____ ___ _________.
________ _______ _____ _______ ________ ___ ______.
_________ _________ _______ ____ ________ ________ _________ ____ _______.
___ _______ ____ ___ ___ _____ __________.
_______ ________ _________ ___ ______ _______ ____ ______ __________.
_________ ____ ___ __________ _____ ______ __________ ______.
____ ____ ___ ____ __________.
_________ ____ ________ __________ ___.
________ ______ ______ __________ _______ _________ _________ ________ _____ ___.
_____ ____ __________ ________ _______ ___ ____ ___ _________ _______.
______ ______ ______ ___ ______ _______ __________ ____.
_________ __________ _______ _____ _________ _______ _____ _________.
_____ _______ _____ ____ ________ _________ __________ _______ __________.
__________ ________ _____ _____ __________ _____ ________ _________ ____ _______ __________ ____.
___ __________ ___ _________ _______ ______.
_____ ______ ______ _____ ____.
________ _______ ______ ___ ____ ____ ____ _________.
_______ _____ _____ _______ ______ _____ _____ ____ ________ __________ ____ ___.
_________ ___ ______ _________ __________ ____ ______ ____ ___ ____ ____.
__________ ____ __________ ___ __________ ________ ________ _________ _________ _____.
________ ___ _________ ________ ______ ______ ________ _______ _____ ________ _____.
________ ______ ____ ___ ________.
______ ______ _______ __________ _________.
________ ___ __________ ______ ____.
________ _____ ____ ______ ____ _______ _____ _____.
_______ _________ __________ ______ _____ ________ _______ ______ ________ ____.
________ _________ __________ ________ ______ _________.
_____ _______ _____ _____ ____ _______ ______ _____ ________ _____.
_________ __________ _______ ________ __________ _____ _______ _______ __________ _____ _____ __________.
____ _______ __________ _________ ________ ________ _____ __________ ____.
___ _______ ____ ______ ______.
____ ________ ___ _______ _______ ______.
Get Full Answer on WhatsApp
IGNOU NEWS
Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★